Dr.
Ellen Kirkman
Professor of Mathematics
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Office
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Manchester 358 | |
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Phone
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(336) 758-5351 | |
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Home
Page
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http://www.math.wfu.edu/Faculty/kirkman.html | |
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Email
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kirkman 'at' wfu.edu | |
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Degrees
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PhD in Mathematics and M.S. in Statistics Michigan State University, 1975 | |
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Research
Interests |
Noncommutative
Algebra, Representation Theory, and Homological Algebra Possible Research Projects with Students:Computational invariant theory, computational algebraic geometry, and quantum calculus. Algebra Seminar, Sept. 9, 2008 Algebra Seminar, Sept. 16, 2008 |
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Papers
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Finitistic dimension of finite dimensional monomial algebras,
J. Algebra 136 (1991), 37-50 (with Edward Green and James Kuzmanovich). A q-analog of the Virasora algebra, Comm. Algebra 22 (1994), 3755-3774 (with Claudio Procesi and Lance Small). Q-analogs of harmonic oscillators and related rings, Israel J. Math. 81 (1993), 111-127 (with Lance Small). Minimal prime ideals in enveloping algebras of Lie superalgebras, Proc. Amer. Math. Soc. 124 (1996), 1693-1702 (with James Kuzmanovich). Noetherian down-up algebras, Proc. Amer. Math. Soc. 127 (1999), 3161-3167 (with Ian Musson and Donald Passman). The Primitivity of Noetherian down-up algebras, Comm. Algebra 28 (2000), no. 6, 2983--2997 (with James Kuzmanovich). Non-Noetherian down-up algebras, Comm. Algebra 28 (2000), no. 11, 5255--5268 (with James Kuzmanovich). Examples of FCR algebras, Communications in Algebra (30)(2002)(7), 3311-3326 (with Lance Small). Hopf down-up algebras, Journal of Algebra 262 (2003), 42-53 (with Ian Musson). Fixed subrings of Noetherian graded regular rings, preprint 2003 (to appear in Journal of Algebra) (with James Kuzmanovich). Down-up algebras from trees, preprint 2003 (with James Kuzmanovich). |
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Classes
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Calculus, Linear Algebra, Modern Algebra, Abstract Algebra | |
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Personal
Interests
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swimming, choral music, classical music, birding, reading, and art |